Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂xF₅

Direct product G=NxQ with N=C₈ and Q=C₂xF₅

		d	ρ	Label	ID
C₂xC₈xF₅		80		C2xC8xF5	320,1054

Semidirect products G=N:Q with N=C₈ and Q=C₂xF₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈:₁(C₂xF₅) = M₄(2):₁F₅	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₈	40	8	C8:1(C2xF5)	320,1065
C₈:₂(C₂xF₅) = D₄₀:C₄	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₈	40	8+	C8:2(C2xF5)	320,1069
C₈:₃(C₂xF₅) = SD₁₆:F₅	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₈	40	8	C8:3(C2xF5)	320,1073
C₈:₄(C₂xF₅) = D₈xF₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₈	40	8+	C8:4(C2xF5)	320,1068
C₈:₅(C₂xF₅) = SD₁₆xF₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₈	40	8	C8:5(C2xF5)	320,1072
C₈:₆(C₂xF₅) = M₄(2)xF₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₈	40	8	C8:6(C2xF5)	320,1064
C₈:₇(C₂xF₅) = C₂xD₅.D₈	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₈	80		C8:7(C2xF5)	320,1058
C₈:₈(C₂xF₅) = C₂xC₄₀:C₄	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₈	80		C8:8(C2xF5)	320,1057
C₈:₉(C₂xF₅) = C₂xC₈:F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₈	80		C8:9(C2xF5)	320,1055

Non-split extensions G=N.Q with N=C₈ and Q=C₂xF₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(C₂xF₅) = D₁₀.D₈	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₈	80	8-	C8.1(C2xF5)	320,241
C₈.₂(C₂xF₅) = D₄₀.C₄	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₈	80	8+	C8.2(C2xF5)	320,244
C₈.₃(C₂xF₅) = D₄₀:₁C₄	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₈	80	8+	C8.3(C2xF5)	320,245
C₈.₄(C₂xF₅) = Dic₂₀.C₄	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₈	160	8-	C8.4(C2xF5)	320,248
C₈.₅(C₂xF₅) = M₄(2).₁F₅	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₈	80	8	C8.5(C2xF5)	320,1067
C₈.₆(C₂xF₅) = D₈:F₅	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₈	80	8-	C8.6(C2xF5)	320,1071
C₈.₇(C₂xF₅) = SD₁₆:₂F₅	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₈	80	8	C8.7(C2xF5)	320,1075
C₈.₈(C₂xF₅) = Dic₂₀:C₄	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₈	80	8-	C8.8(C2xF5)	320,1077
C₈.₉(C₂xF₅) = Q₁₆:F₅	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₈	80	8+	C8.9(C2xF5)	320,1079
C₈.₁₀(C₂xF₅) = D₅.D₁₆	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₈	80	8+	C8.10(C2xF5)	320,242
C₈.₁₁(C₂xF₅) = D₈.F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₈	160	8-	C8.11(C2xF5)	320,243
C₈.₁₂(C₂xF₅) = D₅.Q₃₂	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₈	80	8-	C8.12(C2xF5)	320,246
C₈.₁₃(C₂xF₅) = Q₁₆.F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₈	160	8+	C8.13(C2xF5)	320,247
C₈.₁₄(C₂xF₅) = D₈:₅F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₈	80	8-	C8.14(C2xF5)	320,1070
C₈.₁₅(C₂xF₅) = Q₁₆xF₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₈	80	8-	C8.15(C2xF5)	320,1076
C₈.₁₆(C₂xF₅) = Q₁₆:₅F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₈	80	8+	C8.16(C2xF5)	320,1078
C₈.₁₇(C₂xF₅) = SD₁₆:₃F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₈	80	8	C8.17(C2xF5)	320,1074
C₈.₁₈(C₂xF₅) = Dic₁₀.C₈	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₈	160	8	C8.18(C2xF5)	320,1063
C₈.₁₉(C₂xF₅) = M₄(2):₅F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₈	80	8	C8.19(C2xF5)	320,1066
C₈.₂₀(C₂xF₅) = C₈₀:₂C₄	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.20(C2xF5)	320,187
C₈.₂₁(C₂xF₅) = C₈₀:₃C₄	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.21(C2xF5)	320,188
C₈.₂₂(C₂xF₅) = C₁₆.F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₈	160	4	C8.22(C2xF5)	320,189
C₈.₂₃(C₂xF₅) = C₈₀.₂C₄	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₈	160	4	C8.23(C2xF5)	320,190
C₈.₂₄(C₂xF₅) = C₂xD₁₀.Q₈	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₈	160		C8.24(C2xF5)	320,1061
C₈.₂₅(C₂xF₅) = C₈₀:₄C₄	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.25(C2xF5)	320,185
C₈.₂₆(C₂xF₅) = C₈₀:₅C₄	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.26(C2xF5)	320,186
C₈.₂₇(C₂xF₅) = (C₂xC₈):₆F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.27(C2xF5)	320,1059
C₈.₂₈(C₂xF₅) = C₂xC₄₀.C₄	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₈	160		C8.28(C2xF5)	320,1060
C₈.₂₉(C₂xF₅) = (C₈xD₅).C₄	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.29(C2xF5)	320,1062
C₈.₃₀(C₂xF₅) = C₁₆:F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.30(C2xF5)	320,183
C₈.₃₁(C₂xF₅) = C₁₆:₄F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.31(C2xF5)	320,184
C₈.₃₂(C₂xF₅) = C₂xC₈.F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₈	160		C8.32(C2xF5)	320,1052
C₈.₃₃(C₂xF₅) = D₅:M₅(2)	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.33(C2xF5)	320,1053
C₈.₃₄(C₂xF₅) = C₂₀.₁₂C₄²	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₈	80	4	C8.34(C2xF5)	320,1056
C₈.₃₅(C₂xF₅) = D₅:C₃₂	central extension (φ=1)	160	4	C8.35(C2xF5)	320,179
C₈.₃₆(C₂xF₅) = C₈₀.C₄	central extension (φ=1)	160	4	C8.36(C2xF5)	320,180
C₈.₃₇(C₂xF₅) = C₁₆xF₅	central extension (φ=1)	80	4	C8.37(C2xF5)	320,181
C₈.₃₈(C₂xF₅) = C₁₆:₇F₅	central extension (φ=1)	80	4	C8.38(C2xF5)	320,182
C₈.₃₉(C₂xF₅) = C₂xC₅:C₃₂	central extension (φ=1)	320		C8.39(C2xF5)	320,214
C₈.₄₀(C₂xF₅) = C₅:M₆(2)	central extension (φ=1)	160	4	C8.40(C2xF5)	320,215
C₈.₄₁(C₂xF₅) = C₂xD₅:C₁₆	central extension (φ=1)	160		C8.41(C2xF5)	320,1051

Extensions 1→N→G→Q→1 with N=C8 and Q=C2xF5

Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂xF₅